Chaotic test of a 4-D non-equilibrium fractional order chaotic system and its control

Autor: Feng Chen, Yeqiang Yu, Lipeng Zhou, Jichi Wang, Jiahuan Sun, Keyong Shao
Rok vydání: 2017
Předmět:
Zdroj: 2017 36th Chinese Control Conference (CCC).
Popis: A 4-D fractional order chaotic system without equilibrium point is studied in this paper, the modification of the differential transform method (MDTM) is applied to solving the fractional order chaotic system, and 0–1 test method is used to test chaotic of the system, the regular and chaotic motions can be decided by calculating the asymptotic growth rate K approaching asymptotically to zero or one. We give the stable condition for the stability of the system via qausi state feedback, and also design a qausi state feedback controller to stabilize the 4-D fractional order chaotic system. The feasibility of the algorithm is verified by simulation example.
Databáze: OpenAIRE